768961 has 4 divisors (see below), whose sum is σ = 814212. Its totient is φ = 723712.

The previous prime is 768953. The next prime is 768979. The reversal of 768961 is 169867.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169867 = 37 ⋅4591.

It can be written as a sum of positive squares in 2 ways, for example, as 690561 + 78400 = 831^2 + 280^2 .

It is a cyclic number.

It is not a de Polignac number, because 768961 - 2³ = 768953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 768961.

It is not an unprimeable number, because it can be changed into a prime (768931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22600 + ... + 22633.

It is an arithmetic number, because the mean of its divisors is an integer number (203553).

2⁷⁶⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

768961 is a deficient number, since it is larger than the sum of its proper divisors (45251).

768961 is a wasteful number, since it uses less digits than its factorization.

768961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45250.

The product of its digits is 18144, while the sum is 37.

The square root of 768961 is about 876.9042136973. The cubic root of 768961 is about 91.6153203718.

It can be divided in two parts, 7689 and 61, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 768961 in words is "seven hundred sixty-eight thousand, nine hundred sixty-one".